RT Journal Article T1 Stability of charged global AdS4 spacetimes A1 Arias, Raúl A1 Mas Solé, Javier A1 Serantes Rubianes, Alexandre K1 AdS-CFT Correspondence K1 Black Holes K1 Classical Theories of Gravity K1 Holography and condensed matter physics (AdS/CMT) AB We study linear and nonlinear stability of asymptotically AdS4 solutions in Einstein-Maxwell-scalar theory. After summarizing the set of static solutions we first examine thermodynamical stability in the grand canonical ensemble and the phase transitions that occur among them. In the second part of the paper we focus on nonlinear stability in the microcanonical ensemble by evolving radial perturbations numerically. We find hints of an instability corner for vanishingly small perturbations of the same kind as the ones present in the uncharged case. Collapses are avoided, instead, if the charge and mass of the perturbations come to close the line of solitons. Finally we examine the soliton solutions. The linear spectrum of normal modes is not resonant and instability turns on at extrema of the mass curve. Linear stability extends to nonlinear stability up to some threshold for the amplitude of the perturbation. Beyond that, the soliton is destroyed and collapses to a hairy black hole. The relative width of this stability band scales down with the charge Q, and does not survive the blow up limit to a planar geometry. PB Springer Berlin Heidelberg YR 2016 FD 2016-09-06 LK http://hdl.handle.net/10347/15879 UL http://hdl.handle.net/10347/15879 LA eng NO Arias, R., Mas, J. & Serantes, A. J. High Energ. Phys. (2016) 2016: 24. https://doi.org/10.1007/JHEP09(2016)024 DS Minerva RD 24 abr 2026